Teachers’ difficulties during problem-solving instruction

Alexander Karp has written an article that was published online in Journal of Mathematics Teacher Education on Saturday. The article is called Analyzing and attempting to overcome prospective teachers’ difficulties during problem-solving instruction. Here is the abstract of Karp’s article:

This article analyzes the experiences of prospective secondary mathematics teachers during a teaching methods course, offered prior to their student teaching, but involving actual teaching and reflexive analysis of this teaching. The study focuses on the pedagogical difficulties that arose during their teaching, in which prospective teachers lacked pedagogical content knowledge and skills. It also analyzes the experience of the course itself, which was aimed at scaffolding the work of prospective teachers on developing their pedagogical content knowledge and skills.

How Do Parents Support Preschoolers’ Numeracy Learning Experiences at Home?

A new and interesting article has been published in Early Childhood Education Journal: How Do Parents Support Preschoolers’ Numeracy Learning Experiences at Home? The article is written by Sheri-Lynn Skwarchuk.

Abstract

This study described the kinds of early numeracy experiences that parents provide for their preschoolers, and determined the extent to which parental experiences and involvement in home activities enhanced preschoolers’ numeracy knowledge. Twenty-five parents completed a home activity questionnaire, a 2-week diary study, and a videotaped play session where they were asked to draw out numerical content. Preschoolers’ numeracy scores were predicted by: (1) parental reports of positive personal experiences with mathematics and (2) involvement in activities with complex (versus basic) numeracy goals. Parents felt that most activities had important or essential mathematical value, but focused on number sense goals. Finally, parents who reportedly spent more time on numeracy tasks received high quality interaction ratings in the videotaped sessions; but these variables did not predict numeracy scores. The findings are discussed in terms of educating parents about incorporating numeracy concepts.

ICMI News

A new newsletter has been published from ICMI, and, as usual, it contains lots of interesting information. I would have liked to post the entire newsletter here, but since it is freely available online, I am only going to point to the table of contents:

  1. Editorial: Continuing Professional Development and Effective integration of Digital Technologies in Teaching and Learning Mathematics: Two Challenges for ICMI
  2. A XXIst century Felix Klein’s follow up workshop
  3. Deadline Extended: ICMI / ICIAM STUDY
  4. EARCOME5: First Announcement
  5. Chilean Journal of Statistics (ChJS)
  6. Calendar of Events of Interest to the ICMI Community
  7. ICMI encounters: Hassler Whitney, Laurence C. Young and Dirk J. Struik: Personal recollections
  8. Subscribing to ICMI News

You can also check out the archive for a complete listing of previous (and current) newsletters!

Algebra – the birthplace and graveyard for many

Eleanor Chute has written an interesting article about the importance of algebra in school mathematics. It is not a scientific article, but I think it is worth reading even though! (It was published on September 1st in the Pittsburgh Post-Gazette.) The article is part of a series related to school mathematics, and the two previous articles in the series raise interesting questions about early math and fractions.

Although algebra to many represents a hurdle, or even the graveyard in their mathematical careers, the article claims that:

Algebraic thinking is done even by people who don’t realize they’re using algebra.

After a series of examples, Chute goes on to quote Michele Burgess, who claims that students should not be confronted with algebra for the first time in the Algebra 1 course. This leads me to think about the debate (and research) concerning early algebra, although this is not referred to in this article in particular. If you are interested, I recommend the chapter on early algebra by David Carraher and Analucia Schliemann in NCTM‘s Second Handbook of Research on Mathematics Teaching and Learning (Lester, 2007), or even Carolyn Kieran’s chapter on algebra in the same handbook.

Reference:

Lester, F. K. (Ed.) (2007). Second handbook of research on mathematics teaching and learning. Charlotte, NC: Information Age Pub. 

Blog reading tips – Poincaré’s prize

Peter Ash has a nice blog about mathematics and education, and he has given a nice review of what appears to be an interesting book in a blog post about “Poincare’s Prize“. Here is the intro of his post, to tickle your interest:

I recently read Poincaré’s Prize: The Hundred-Year Quest to Solve One of Math’s Greatest Puzzles by George C. Szpiro. I recommend it highly. Some time back I recommended another book on the same topic, The Poincaré Conjecture: In Search of the Shape of the Universe by Donal O’Shea. If you can only read one book on the topic, I recommend the Szpiro book.

Summer is here…

Summer is here, and it is vacation time. This year, I even plan on taking a break from the blog writing! If you want to stay up-to-date during the summer, you can always go here to read the RSS feed of some of my preferred journals. Otherwise, you will have to wait until August 10, which is when I’ll be back at work.

I wish all of my readers a wonderful summer 🙂

What works in early childhood education?

I came across an interesting post about a project related to mathematics in early childhood education today. This project is described as “an innovative, district-wide early childhood education initiative”, and it is conducted in Bremerton, Washington (U.S.). Apparently, the project was initially focused on early literacy skills, but they have now started to focus on mathematical skills as well. A goal is to “decrease the number of children (…) with learning disabilities”. An interesting interview with the director of the program: Linda Sullivan-Dudzic has been postend on the Public School Insigths website. They have also written about this program earlier, and the story was originally published on the website of The Center for Public Education.

Thanks to Alexander G. Rivadeneira for pointing me to this story 🙂

PhD student at UiS?

My university – University of Stavanger, Norway – has now announced a vacant position/stipend for a PhD student in mathematics education. The position is related to our project “Teachers’ knowledge of mathematics” (which represents an attempt to adapt and use the MKT measures in Norway).

For more information (the website is in Norwegian only) you can contact me (reidar.mosvold_AT_uis.no) or my colleague Raymond Bjuland (raymond.bjuland_AT_uis.no). Please note that the deadline for application is June 29, 2009!

Mathematical modelling and medical students

Teaching Mathematics and its Applications has published an article by Zvi H. Perry about Change in senior medical students’ attitudes towards the use of mathematical modelling as a means to improve research skills. Here is the article abstract:

A PUBMED search for ‘mathematical models in medicine’ shows more than 15,000 articles covering almost every field of medicine. We designed a course with the goal of developing the students’ skills in computerized data analysis and mathematical modelling, as well as enhancing their ability to read and interpret mathematical data analysis. The study evaluated the acquisition of research skills and how to understand such data, as well evaluating the students’ feeling of competence. The course was structured as a 1-week (30-h) workshop for final year medical students. The study population consisted of 23 medical students who took the course in the 2005 academic year. Course evaluation used questionnaires that assessed the students’ satisfaction and mathematical knowledge. We found a significant change in the attitudes of our subjects, comparing their before and after attitudes towards their competence in the use of mathematical modelling, academically (i.e. their ability to read and understand articles using math models) as well as medically (i.e. their ability to implement theory that arises from math models to medical applications). We believe that the use of math modelling training in medical education significantly improved the students’ confidence in reading and applying math models in medicine; there is a tendency (albeit insignificant) towards superior results in attitudes of students towards math usage in medicine at large.

ICMI-News, May 2009

A new newsletter has arrived from ICMI (International Commission on Mathematical Instruction), and it contains lots of interesting news! Here is the table of contents:

  1. Editorial: The Relevance of Mathematics Education in India
  2. ICMI Study 20: Educational Interfaces between Mathematics and the Industry (EIMI)
  3. ICMI Study 20: Discussion document (short version)
  4. ICMI has a new website!
  5. Exhibition “Experiencing Mathematics” in southern countries
  6. Calendar of Events of Interest to the ICMI Community
  7. Historical vignettes: David Eugene Smith, the proponent of ICMI
  8. Subscribing to ICMI News

The entire newsletter is freely available online, and you can also read previous newsletters from the archive.